You seem to be under the false impression that women’s bodies don’t produce testosterone under normal circumstances. They do. Women produce testosterone in their ovaries, adrenal glands, fat and skin cells.
I doubt any statistically significant study has been done since XY females are rare. In men the adrenal glands produce only 5-10% of total testosterone. In women the ovaries and adrenal glands make most of it, so I’d expect an XY woman with ovaries to have fairly normal levels. If she has no ovaries then I’d expect the level to be low. It’s about having the organs that do the production, not about the chromosomes.
That said, people vary A LOT so you’ll find an edge case for almost anything you look for.